Question

The angles of a triangle are arranged in descending order of their magnitudes. If the difference between two consecutive angles is 10°, find the three angles.
I want the answer step wise. please help me .if you answer it correctly and stepwise I will mark you as the brainiest

Answer 1

Answer: the angles are 70°,60°,50°

Step-by-step explanation: LET THE FIRST ANGLE BE x

second angle= x-10

third angle=( x-10)-10= x-20

by angle sum property of triangles( angles of a triangle always add up to 180°)

∴ (x)+( x-10)+ (x-20)=180°

3x-30=180°

3x=210°

x=210/3=70°

first angle=x= 70°

second angle= x-10=70-10=60°

third angle =x-20=50°

(70°+60°+50°=180° )

Answer 2

Answer:

x+(x-10) +(x-20)=180°

3x-30=180°

3x=180°+30°

3x=210°

x=210°/3

x=70°i.e 70°,60,°50°